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On the Weighted Pseudo Almost-Periodic Solutions of Static DMAM Neural Network. Neural Process Lett 2022. [DOI: 10.1007/s11063-022-10817-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Aouiti C, Rezeg MB. Impulsive multidirectional associative memory neural networks: New results. INT J BIOMATH 2021. [DOI: 10.1142/s1793524521500601] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
An Impulsive Multidirectional Associative Memory Neural Network (IMAMNN) with time-varying and leakage delays is proposed. Through the use of a continuation theorem of coincidence degree theory and differential inequality techniques we establish new conditions for the existence and exponential stability of anti-periodic solutions for the model considered in this work. Moreover, two examples and its numerical simulations are presented to show the validity and the effectiveness of the results.
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Affiliation(s)
- Chaouki Aouiti
- Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, Research Units of Mathematics and Applications UR13ES47, 7021 Zarzouna, Bizerta, Tunisia
| | - Mahjouba Ben Rezeg
- Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, Research Units of Mathematics and Applications UR13ES47, 7021 Zarzouna, Bizerta, Tunisia
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